Ordinary Differential Equations Analytical Methods and Applications
The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable cal...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2023, 2023
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| Edition: | 1st ed. 2023 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- First-order Differential Equations
- Differential Equations of the Order n>1
- Systems of Differential Equations
- Qualitative Analysis and Atability of ODE Solutions
- Power series solutions of ODEs
- Laplace Transform
- Fourier series
- Boundary Value Problems for second-order ODEs
- Special Functions
- Integral Equations
- Calculus of Variations
- Partial Differential Equations
- Appendix 1: Picard's Existence and Uniqueness Theorem
- Appendix 2: A Primer on the Matrix Eigenvalue Problems and the Solutions of the Selected Examples
- Appendix 3: How to Use Software Associated with the Book.